Fundamentals of statistics
General data
Course ID: | 1300-OPST2CW |
Erasmus code / ISCED: |
11.201
|
Course title: | Fundamentals of statistics |
Name in Polish: | Podstawy statystyki |
Organizational unit: | Faculty of Geology |
Course groups: |
(in Polish) Przedmioty obowiazkowe na II roku studiów pierwszego stopnia na kierunku geologia poszukiwawcza (in Polish) Przedmioty obowiązkowe na II r. studiów I st. na kierunku geologia stosowana na specjalizacji GKG (in Polish) Przedmioty obowiązkowe na II r. studiów I st. na kierunku geologia stosowana na specjalizacji GS (in Polish) Przedmioty obowiązkowe na II r. studiów I st. na kierunku geologia stosowana na specjalizacji ISM |
ECTS credit allocation (and other scores): |
3.00
|
Language: | Polish |
Type of course: | obligatory courses |
Prerequisites (description): | Student should have a basic knowledge connected with: • differential calculus for one-variable function, • integral calculus, definite Riemann integral, improper integral. |
Short description: |
Definition of probability and its properties. Random variables, parameters of distribution. Distributions of random variables: binomial, Poisson, chi-square, Student`s distributions, n–dimension random variables. Basic statistics notions, methods of sample collections. One-dimensional statistical series and their elaboration: distributive series, diagram, histogram, distribution parameters. Range estimation, confidence intervals for average value and variance. Verification of statistical hypothesizes, tests of significances. Two-dimensional population, regression line, coefficient of linear correlation (least squares method), curvilinear correlation. |
Full description: |
The lecture has the task to know with the following subject matters: • elements of probability definitions: classical, geometrical, axiomaltical, statistical, • random variables discrete and continuous and their parameters. Distributions of random variables: binomial, Poisson, normal, chi-square, Student`s distributions, • n-dimensional random variables, • basic statistics notions, methods of sample collections, • one dimensional statistical series and their elaboration, distributive series, diagram, histogram, distribution parameters, • point estimation, confidence intervals for average value and variance, • verification of statistical hypothesises, tests of significances, • two-dimensional populations, regression lines, coefficient of linear correlations (least squares method), curvilinear correlation. The exercises will be devoted for solving of the problems based on the theory presented on lectures, • are synchronized with lectures, • teach to solve of exercises, calculations, • teach to solve some examples illustrative the lecture theory, • teach to interpret of the obtained results, • indicate numerical programs for the statistical problems. |
Bibliography: |
(in Polish) PLATT, C. 1977. Problemy rachunku prawdopodobieństwa i statystyki matematycznej. Wydawnictwo Naukowe PWN; Warszawa KRYSICKI W., BARTOS J., DYCZKA W., KROLIKOWSKA K., WASILEWSKA M., 1998, Rachunek prawdopodobieństwa i statystyka matematyczna, Wydawnictwo Naukowe PWN, Warszawa KLONECKI W., 1999, Statystyka dla inżynierów, Wydawnictwo Naukowe PWN, Warszawa DAVIS J.C., 1973, Statistics and data analysis In geology, John Wiley and Sons., New York,(istnieje tłumaczenie na język rosyjski, wydane przez Izd. Mir, Moskwa, 1977). |
Learning outcomes: |
After completion of lecture a student: • calculates statistical parameters, creates distributive series, interprets their graphically, • calculates confidence intervals for average value and variance, • verifies statistical hypothesis connected with parameters and distributions (chi-square test, Kolmogov`s test), • determines equations of regression lines and coefficients of linear correlations, • determines curvilinear regressions, • contrives to interpret results obtained by using statistical computer programs. |
Assessment methods and assessment criteria: |
Credit requirements: • knowledge of the materials presented on lectures, • applications of knowledge to solve practical examples. Written test with applications of received knowledge to solve practical problems (numerical examples), there is possible to use lecture notes. |
Practical placement: |
(in Polish) brak |
Classes in period "Summer semester 2023/24" (in progress)
Time span: | 2024-02-19 - 2024-06-16 |
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MO TU W CW
CW
TH WYK
FR CW
|
Type of class: |
Classes, 30 hours, 36 places
Lecture, 30 hours, 36 places
|
|
Coordinators: | Jacek Sadowski | |
Group instructors: | Roman Korsak, Wanda Niemyska, Jacek Sadowski | |
Students list: | (inaccessible to you) | |
Examination: |
Course -
Grading
Classes - No assessment Lecture - Grading |
Copyright by University of Warsaw.